34 citations · 118 across the 30 of their papers we have counts for
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math.SP2007
Spectra and semigroup smoothing for non-elliptic quadratic operators
Michael Hitrik, Karel Pravda-Starov
We study non-elliptic quadratic differential operators. Quadratic differential operators are non-selfadjoint operators defined in the Weyl quantization by complex-valued quadratic…
math.SP2007★ 1 cited
Rational invariant tori, phase space tunneling, and spectra for non-selfadjoint operators in dimension 2
Michael Hitrik, Johannes Sjoestrand
We study spectral asymptotics and resolvent bounds for non-selfadjoint perturbations of selfadjoint -pseudodifferential operators in dimension 2, assuming that the classical flo…
math.SP2007★ 34 cited
Tunnel effect for Kramers-Fokker-Planck type operators
Frederic Herau, Michael Hitrik, Johannes Sjoestrand
We consider operators of Kramers-Fokker-Planck type in the semi-classical limit such that the exponent of the associated Maxwellian is a Morse function with two local minima and a…